The problem with that is that the TERPS criteria do not take into account other traffic that may intrude into otherwise cleared airspace. You may well run into another airplane that has inadvertently wandered into 'your' airspace, or that was placed there via controller error or because of an emergency. In a Cat II or Cat III situation, you could easily hit another airplane holding on the runway if you start the go-around at DH or AH.
Take a few seconds, explain what you are about to do and execute it.
As I already pointed out, that is typically accomplished via normal procedure, without trying to rebrief the entire missed approach procedure.